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Finding the Third Proportional to 34,524 and 50,644

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Solution

The third proportional to 34,524 and 50,644 is: 74,290.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,524 : 50,644 = 50,644 : x
  2. Step 2: Convert to fraction form
    34,524/50,644 = 50,644/x
  3. Step 3: Cross multiply
    34,524x = 50,644 × 50,644
  4. Step 4: Simplify right side
    34,524x = 2,564,814,736
  5. Step 5: Solve for x
    x = 2,564,814,736/34,524
  6. Step 6: Final answer
    x = 74,290.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.